Write the vertex form equation of the parabola. Opens left or right, Vertex: (-2,3); Passes through (-3,4)

Algebra 2 help!!!!!!!!

Vertex (- 2, 3):

h = - 2
k = 3

Point (- 3, 4):

x = - 3
y = 4

Since the parabola is horizontally oriented,

x = a(y - k)² + h

- 3 = a(4 - 3)² + (- 2)
- 3 = a(1)² - 2
- 3 = a(1) - 2
- 3 = a - 2
a = - 3 + 2
a = - 1

Equation:

x = - (y - 3)² - 2
¯¯¯¯¯¯¯¯¯¯¯¯¯